Derivada de xsinhx^2

Ha introducido [src]

      2   
x*sinh (x)

$$x \sinh^{2}{\left(x \right)}$$

x*sinh(x)^2

Gráfica

Trazar el gráfico f(x)

Trazar el gráfico f'(x)

Primera derivada [src]

    2                         
sinh (x) + 2*x*cosh(x)*sinh(x)

$$2 x \sinh{\left(x \right)} \cosh{\left(x \right)} + \sinh^{2}{\left(x \right)}$$

Simplificar

Segunda derivada [src]

  /  /    2          2   \                    \
2*\x*\cosh (x) + sinh (x)/ + 2*cosh(x)*sinh(x)/

$$2 \left(x \left(\sinh^{2}{\left(x \right)} + \cosh^{2}{\left(x \right)}\right) + 2 \sinh{\left(x \right)} \cosh{\left(x \right)}\right)$$

Simplificar

Tercera derivada [src]

  /      2            2                         \
2*\3*cosh (x) + 3*sinh (x) + 4*x*cosh(x)*sinh(x)/

$$2 \left(4 x \sinh{\left(x \right)} \cosh{\left(x \right)} + 3 \sinh^{2}{\left(x \right)} + 3 \cosh^{2}{\left(x \right)}\right)$$

Simplificar

Gráfico